3981600000000 has 1296 divisors, whose sum is σ = 16635928982400. Its totient is φ = 898560000000.

The previous prime is 3981599999989. The next prime is 3981600000013. The reversal of 3981600000000 is 61893.

It is a self number, because there is not a number n which added to its sum of digits gives 3981600000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50399999961 + ... + 50400000039.

Almost surely, 2^{3981600000000} is an apocalyptic number.

3981600000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317964491200).

3981600000000 is an abundant number, since it is smaller than the sum of its proper divisors (12654328982400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3981600000000 is an frugal number, since it uses more digits than its factorization.

3981600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 3981600000000 its reverse (61893), we get a palindrome (3981600061893).

The spelling of 3981600000000 in words is "three trillion, nine hundred eighty-one billion, six hundred million", and thus it is an aban number.